Numerical solution of conservation laws

2005 ◽  
pp. 15-37
Author(s):  
H. O. Kreiss
Keyword(s):  
Conservation Laws ◽  
Numerical Solution

scholarly journals Numerical Solution of Scalar Conservation Laws with Random Flux Functions

2016 ◽  
Vol 4 (1) ◽  
pp. 552-591 ◽  
Author(s):  
Siddhartha Mishra ◽  
Nils Henrik Risebro ◽  
Christoph Schwab ◽  
Svetlana Tokareva
Keyword(s):  
Conservation Laws ◽  
Numerical Solution ◽  
Scalar Conservation Laws ◽  
Scalar Conservation

THE METHOD OF SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT — A NEW PARADIGM FOR NUMERICAL SOLUTION OF CONSERVATION LAWS

1998 ◽  
pp. 206-240 ◽  
Author(s):  
Sin-Chung CHANG ◽  
Sheng-Tao YU ◽  
Ananda HIMANSU ◽  
Xiao-Yen WANG ◽  
Chuen-Yen CHOW ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Numerical Solution ◽  
Space Time ◽  
New Paradigm ◽  
Solution Element

Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I

1997 ◽  
Vol 18 (2) ◽  
pp. 315-354 ◽  
Author(s):  
Barna L. Bihari ◽  
Ami Harten
Keyword(s):  
Conservation Laws ◽  
Numerical Solution ◽  
Multiresolution Schemes

Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

2011 ◽  
Vol 3 (5) ◽  
pp. 519-561 ◽  
Author(s):  
Christophe Besse ◽  
Saja Borghol ◽  
Thierry Goudon ◽  
Ingrid Lacroix-Violet ◽  
Jean-Paul Dudon
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Conservation Laws ◽  
Numerical Solution ◽  
Boundary Layers ◽  
Mean Free Path ◽  
Euler System ◽  
Knudsen Layer ◽  
Microscopic Modeling ◽  
Definition Of

AbstractWe propose a numerical solution to incorporate in the simulation of a system of conservation laws boundary conditions that come from a microscopic modeling in the small mean free path regime. The typical example we discuss is the derivation of the Euler system from the BGK equation. The boundary condition relies on the analysis of boundary layers formation that accounts from the fact that the incoming kinetic flux might be far from the thermodynamic equilibrium.

scholarly journals Conservation laws and the numerical solution of ODEs, II

1999 ◽  
Vol 38 (2) ◽  
pp. 61-72 ◽  
Author(s):  
L.F Shampine
Keyword(s):  
Conservation Laws ◽  
Numerical Solution
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